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Finding the Fourth Proportional to 222,461.30, 333,363.90 and 189,000.20

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Solution

The fourth proportional to 222,461.30, 333,363.90 and 189,000.20 is: 283,221.59

Step by Step Solution

  1. Step 1: Write the proportion equation
    222,461.30 : 333,363.90 = 189,000.20 : x
  2. Step 2: Convert to fraction form
    222,461.30/333,363.90 = 189,000.20/x
  3. Step 3: Cross multiply
    222,461.30x = 333,363.90 × 189,000.20
  4. Step 4: Simplify right side
    222,461.30x = 63,005,843,772.78
  5. Step 5: Solve for x
    x = 63,005,843,772.78/222,461.30
  6. Step 6: Final answer
    x = 283,221.59

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These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.